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Paper Citation Record · LEDGER

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $

As of 10 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2607.08621.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.08621 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T04:47:32.932155Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

21 of 21 outbound references displayed

  • verified exact6
  • verified fuzzy8
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 84bf4551-ddd1-4f4b-9df6-3e26cb0cebd9 · outbound

This paper cites Aubin.Nonlinear Analysis on Manifolds.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Aubin.Nonlinear Analysis on Manifolds

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:06:48.536617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:66f313d82d4017f220cb7b76ed647fe8412522138b70e695300f9560b381a93f

Observation 8196311d-3dcc-427c-8c03-d87e923d0349 · outbound

This paper cites Cecchini, D.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Cecchini, D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:06:48.538186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:328759ad781507c9bf300b14e28fb51ef30fe202ad68d0c410c7192127612cb3

Observation e9f6a1b5-86af-459c-8094-6c1a68d963df · outbound

This paper cites Cecchini and R.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Cecchini and R

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:06:48.539811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:622724800afd6e7cbcb7388aedf4390322d83446b2e1f72dd61b4c71edf76f5b

Observation c53b2358-cf0c-4324-867c-87b49e1492df · outbound

This paper cites an unresolved cited work.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:06:48.541310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:c4ffc0808d51d6057039971141c74bce5fe6803164f6372a208a358da659a800

Observation 1007f993-d73c-4dbd-8ff0-8a51b96343b4 · outbound

This paper cites Chodosh and C.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Chodosh and C

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:06:48.542925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:a0e7b42c93b972a719f5264a548b5c301c56728fcb22fdd3a69ef150a9434324

Observation 8f5c787e-8e06-4670-968f-ba6e4764d2c7 · outbound

This paper cites A Tutorial-cum-Survey on Self-Supervised Learning for Wi-Fi Sensing: Trends, Challenges, and Outlook.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ A Tutorial-cum-Survey on Self-Supervised Learning for Wi-Fi Sensing: Trends, Challenges, and Outlook

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-07-10T04:56:45.950033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:655f2faf3f6c9cf5d536bc5886df4de4a5a9727836e755e1cfdad3fd289a9075

Observation 96e623b5-215e-4f7a-91cf-dad3452ac9dd · outbound

This paper cites Four Lectures on Scalar Curvature.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Four Lectures on Scalar Curvature

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-07-10T04:56:45.955641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:d0fb69f575e315953223a90fb2eff5d271b4f60c01b8b5d3b6db6dcb790c4c3b

Observation 0a7fd645-7472-4003-ba17-ee0387e33e15 · outbound

This paper cites an unresolved cited work.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:06:48.544423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:b4b1b1d440186d7ffa681683b81551199249b1c8c25af8749f5a7fa420b0bf09

Observation 4fbe29cb-fffe-4824-a6a0-3b5f8d299059 · outbound

This paper cites Gromov and H.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Gromov and H

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T04:56:46.870448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:0205e0e33af45f6983d8c0862ac41ad55ef8313fb04adf7a1fd431902b15f8ff

Observation db2075d8-9ced-47ef-be4f-45194589efb1 · outbound

This paper cites an unresolved cited work.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-07-10T04:56:46.865259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:f51292c4a82a8bf2e966dc91403a39c2893d0a80f91d80cdedd481e0138b6321

Observation d1f09475-732d-4035-9322-2ef47e3e5cfe · outbound

This paper cites an unresolved cited work.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-07-10T04:56:46.873264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:8314ab7dd984e0b3947c6ddd165a7ce961a50e4c6801af5a1aa48d1381ee474f

Observation 7c35873d-9108-4a2d-9f22-43bdff002df7 · outbound

This paper cites Rosenberg.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Rosenberg

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T04:56:46.854651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:75463264ee10f4cb0b18ebd3e71134f58508b9b24ec532f5c5cc0e77ad63fc52

Observation 79b5203f-1f41-45ac-a615-ba37285589a5 · outbound

This paper cites Rosenberg and S.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Rosenberg and S

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T04:56:46.850564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:6adfbf8bf88511e8c44257c99cfaacfb36756217804c13dd7c8a71d96fc3821a

Observation 8d459fe1-63ab-40f5-aace-41f288711b9d · outbound

This paper cites an unresolved cited work.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-07-10T04:56:46.861004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:983c772fe47eb1b540d948a80034abea3d1af450aaffed12dd8e3a74eff89166

Observation 115e319e-6c4c-472d-a519-26aa9b4b48f8 · outbound

This paper cites A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ A Codimension Two Approach to the $\mathbb{S}^1$-Stability Conjecture

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-07-10T04:56:45.947055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:7c7907823948f00d0cc70f42335465e3abd3da4217e6eadb7d41219fa1a7f1ea

Observation 947ace1d-cdb2-4f39-97cb-741c78b20657 · outbound

This paper cites Schoen and S.-T.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Schoen and S.-T

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T04:56:46.854812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:4243f8a8d3ce08c5a63cbf5c446bbb60b46124316a2ad3f5e25e8db285f644b6

Observation 4243a593-8f9f-4596-997f-cf844abfb74f · outbound

This paper cites an unresolved cited work.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Unresolved cited work

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-07-10T04:56:45.949897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:1c38307c8751efa872f4a26009828430c07425583dd5a7037564a8d69d7c320b

Observation c8c593a3-a0e5-46c4-97e0-c273114188cc · outbound

This paper cites an unresolved cited work.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Unresolved cited work

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-07-10T04:56:45.952701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:e5f2c81207eb36a3f6e3238f23cf03c94c2a730d14da9b5cbbb3492a46191daf

Observation 1144e5ad-99bb-4487-a8fe-1aa44e4b456f · outbound

This paper cites Scalar and Mean Curvature Comparison on Compact Cylinder.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Scalar and Mean Curvature Comparison on Compact Cylinder

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-07-10T04:56:45.943876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:849568eefaeaabcbe150b91d81ecaf32ed08ac32273eabc61615b879d404c2ea

Observation 731d1c3e-9931-4c2b-911b-4ed7ef1910af · outbound

This paper cites an unresolved cited work.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-07-10T04:56:46.863270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:0fbe8ccafeb88d7444045778961df8aa9289522f3da9c8e92df0fad0bfa60d68

Observation 9d307ffe-0a65-447c-b8bc-644ac9343113 · outbound

This paper cites an unresolved cited work.

The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-07-10T04:56:46.846194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-10T04:47:32.932155Z digest=sha256:185128a0f88ddda185d25fbfebdbb2340e2ac472726634dbc8bd440945c973c9

Pith citing papers

No inbound Pith citation observations are available.